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Finding the Fourth Proportional to 104.10, 140.90 and 104.10

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Solution

The fourth proportional to 104.10, 140.90 and 104.10 is: 140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.10 : 140.90 = 104.10 : x
  2. Step 2: Convert to fraction form
    104.10/140.90 = 104.10/x
  3. Step 3: Cross multiply
    104.10x = 140.90 × 104.10
  4. Step 4: Simplify right side
    104.10x = 14,667.17
  5. Step 5: Solve for x
    x = 14,667.17/104.10
  6. Step 6: Final answer
    x = 140.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.